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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Choose the word that is opposite in meaning to the given word.

Reprove

Option 1: Rap

Option 2: Eulogise

Option 3: Pummel

Option 4: Keelhaul

Team Careers360 20th Jan, 2024

Correct Answer: Eulogise


Solution : The second option is the correct answer.

Reprove means to express disapproval or criticism, often with the intention of correcting or scolding. On the other hand, the word, eulogise means to praise highly or speak favourably about someone or something, typically in a formal speech

14 Views

Question : Find the numerical value of
$\frac{9}{\operatorname{cosec^{2}\theta}}+4\cos^{2}\theta+\frac{5}{1+\tan^{2}\theta}$

Option 1: $5$

Option 2: $7$

Option 3: $9$

Option 4: $4$

Team Careers360 19th Jan, 2024

Correct Answer: $9$


Solution : Given: $\frac{9}{\operatorname{cosec^{2}\theta}}+4\cos^{2}\theta+\frac{5}{1+\tan^{2}\theta}$
$=9\sin^2\theta+4\cos^{2}\theta+\frac{5}{\operatorname{sec^{2}\theta}}$
$=9\sin^2\theta+4\cos^{2}\theta+5\cos^{2}\theta$
$=9\sin^2\theta+9\cos^{2}\theta$
$=9(\sin^2\theta+\cos^{2}\theta)$
$=9$ [$\because \sin^2\theta+\cos^{2}\theta=1$]
Hence, the correct answer is $9$.

41 Views

Question : The average expenditure of a man for the first five months is INR 1,200 and for the next seven months is INR 1,300. If he saves INR 2,900 in that year, his monthly average income is:

Option 1: INR 1,500

Option 2: INR 1,600

Option 3: INR 1,700

Option 4: INR 1,400

Team Careers360 21st Jan, 2024

Correct Answer: INR 1,500


Solution : The average expenditure of a man for the first five months = INR 1,200
The average expenditure of a man for the next seven months = INR 1,300
Total annual expenditure = 5 × 1200 + 7 × 1300 = INR 15,100
Savings =

19 Views

Question : If $\mathrm{N}+\frac{1}{\mathrm{~N}}=\sqrt{3}$, then find the value of $\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}+11$.

Option 1: –11

Option 2: –2

Option 3: 11

Option 4: 9

Team Careers360 12th Jan, 2024

Correct Answer: 9


Solution : Given: $\mathrm{N}+\frac{1}{\mathrm{~N}}=\sqrt{3}$
Squaring both sides, we get:
⇒ $\mathrm{N}^2+2+\frac{1}{\mathrm{~N}^2}=3$
⇒ $\mathrm{N}^2+\frac{1}{\mathrm{~N}^2}=1$
Now, cubing both sides, we get:
⇒ $(\mathrm{N}^2+\frac{1}{\mathrm{~N}^2})^3=1^3$
⇒ $(\mathrm{N}^2)^3 + (\frac{1}{\mathrm{~N}^2})^3 + 3\times\mathrm{N}^2\times\frac{1}{\mathrm{~N}^2}(\mathrm{N}^2+\frac{1}{\mathrm{~N}^2})=1$
⇒ $ \mathrm{N}^6 + \frac{1}{\mathrm{~N}^6} + 3\times1=1$
⇒ $\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}=-2$
Adding 11 on both sides, we get,
$\therefore\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}+11=9$
Hence, the correct

15 Views

Question : What is the value of (a + b + c) {(a - b)+ (b - c)2 + (c - a)2}?

Option 1: $2 a^3+2 b^3+2 c^3$

Option 2: $2a^3+2b^3+2c^3-6abc$

Option 3: $3abc$

Option 4: $6abc$

Team Careers360 23rd Jan, 2024

Correct Answer: $2a^3+2b^3+2c^3-6abc$


Solution : $(a+b+c)\left\{(a-b)^2+(b-c)^2+(c-a)^2\right\}$
$=((a+b+c)\left\{(a^2+b^2-2ab+b^2+c^2-2bc+c^2+a^2-2ac)\right\}$
$=((a+b+c)\left\{(2a^2+2b^2+2c^2-2ab-2bc-2ac)\right\}$
$=(2a^3+2ab^2+2ac^2-2a^2b-2abc-2a^2c+2a^2b+2b^3+2c^2b-2ab^2-2b^2c-2abc+2a^2c+2b^2c+2c^3-2abc-2bc^2-2ac^2)$
$=2a^3-2abc+2b^3-2abc+2c^3-2abc$
$=2a^3+2b^3+2c^3-6abc$
Hence, the correct answer is '$2a^3+2b^3+2c^3-6abc$'.

40 Views

Question : Select the most appropriate synonym of the underlined word in the given sentence.

The event, in a cramped space, was totally bizarre in my view.

Option 1: Usual

Option 2: Customary

Option 3: Odd

Option 4: Normal

Team Careers360 17th Jan, 2024

Correct Answer: Odd


Solution : The most appropriate synonym for the underlined word "bizarre" in the given sentence is "odd".

Explanation:

  • Odd is a suitable synonym in this context because it also means strange or unusual, and it conveys a similar sense of something being out of the ordinary.
12 Views

Question : In 2023, the Government of India launched the nationwide 'Sarva Dawa Sevan' or mass drug administration to eliminate the disease.

Option 1: Lymphatic filariasis

Option 2: Thalassemia

Option 3: Zika virus

Option 4: Multidrug-resistant tuberculosis

Team Careers360 20th Jan, 2024

Correct Answer: Lymphatic filariasis


Solution : The correct answer is Lymphatic filariasis.

In India, the Government of India, through the Ministry of Health and Family Welfare, launched a nationwide 'Sarva Dawa Sevan' or Mass Drug Administration (MDA) campaign to eliminate the disease Lymphatic Filariasis (LF). This comprehensive campaign is part

15 Views

Question : Which is not a measure undertaken by the government to check inflation?

Option 1: An increase in consumption

Option 2: An increase in production

Option 3: Reduction in deficit financing

Option 4: Taxation measures

Team Careers360 10th Jan, 2024

Correct Answer: An increase in consumption


Solution : The correct answer is an increase in consumption.

Personal consumption spending reduction is an essential fiscal policy implemented by governments to control inflation. This is accomplished through increasing personal, business, and commodity tax rates, as well as imposing additional taxes. The government

9 Views

Question : In $\triangle$ABC, Z is a point on side BC, and AB = AC. If $\angle$AZB = 90° and BC = 42 cm, then what will be the length of BZ?

Option 1: 21 cm

Option 2: 32 cm

Option 3: 28 cm

Option 4: 35 cm

Team Careers360 16th Jan, 2024

Correct Answer: 21 cm


Solution : In an isosceles triangle, if a line is drawn from the vertex of the equal sides to the base such that it is perpendicular to the base, it bisects the base. This line is also known as the altitude of the isosceles triangle.
Since

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